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Correct theorem names #70

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Correct theorem names #70

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8 changes: 4 additions & 4 deletions PropExt.lp
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Original file line number Diff line number Diff line change
Expand Up @@ -262,15 +262,15 @@ end;

// Simplifications on Equalities

opaque symbol =_idem t (x : τ t) : π ((x = x) = ⊤) ≔
opaque symbol =_refl t (x : τ t) : π ((x = x) = ⊤) ≔
begin
assume t x;
refine propExt (x = x) ⊤ _ _
{assume h1; refine ⊤ᵢ}
{assume h1; refine eq_refl x}
end;

opaque symbol ¬=_idem t (x : τ t) : π (¬ (x = x) = ⊥) ≔
opaque symbol ¬=_irrefl t (x : τ t) : π (¬ (x = x) = ⊥) ≔
begin
assume t x;
refine propExt (¬ (x = x)) ⊥ _ _
Expand Down Expand Up @@ -436,7 +436,7 @@ end;

// Simplifications on Implication

opaque symbol ⇒_idem x : π ((x ⇒ x) = ⊤) ≔
opaque symbol ⇒_refl x : π ((x ⇒ x) = ⊤) ≔
begin
assume x;
refine propExt (x ⇒ x) ⊤ _ _
Expand Down Expand Up @@ -478,7 +478,7 @@ end;

// Simplifications on Bi-Implication

opaque symbol ⇔_idem x : π ((x ⇔ x) = ⊤) ≔
opaque symbol ⇔_refl x : π ((x ⇔ x) = ⊤) ≔
begin
assume x;
refine propExt (x ⇔ x) ⊤ _ _
Expand Down
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